Results 51 to 60 of about 339 (176)
Existence of Full Replica Symmetry Breaking for the Sherrington–Kirkpatrick Model at Low Temperature
Communications on Pure and Applied Mathematics, Volume 79, Issue 7, Page 1746-1770, July 2026.ABSTRACT We verify the existence of full replica symmetry breaking (FRSB) for the Sherrington–Kirkpatrick (SK) model and determine the structure of its Parisi measure slightly beyond the high temperature regime. More specifically, we prove that the support of the Parisi measure for the SK model consists of an interval starting at the origin slightly ...
Yuxin Zhou
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Journal of Avian Biology, Volume 2026, Issue 4, July 2026.A long‐standing theory, the abundance‐centre hypothesis (ACH), predicts that species peak in abundance at the centre of their geographic range, where environmental conditions are optimal, and decline towards range limits as conditions deteriorate. Yet, tests of the ACH in birds along elevational gradients have yielded mixed results.
Riccardo Pernice +9 more
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On a universal ultrametric space
Topology and its Applications, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lemin, Alex J., Lemin, Vladimir A.
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Journal of MathematicsThis paper aims to investigate new coincidence point theorems for self-maps under an extended rational contraction. Our approach uses the p-adic distance in partially ordered ultrametric spaces. Furthermore, to illustrate our major discoveries, we give a
Balaanandhan Radhakrishnan +6 more
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Treeline Provides a Unified Strategy for Optimising Phylogenetic Trees Under Alternative Criteria
Molecular Ecology Resources, Volume 26, Issue 5, July 2026.ABSTRACT The choice of optimality criterion is a key consideration in phylogenetic studies. Recent work challenges the notion that more computationally demanding optimisation objectives result in better phylogenetic trees. This finding underscores the importance of comparing trees across optimisation objectives in addition to different models of ...
Erik S. Wright
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Metric and ultrametric spaces of resistances
Discrete Applied Mathematics, 2010 In 1987, \textit{A. D. Gvishiani} and \textit{V. A Gurvich} [``Metric and ultrametric spaces of resistances'', Russ. Math. Surv. 42, No. 6, 235--236 (1987); translation from Usp. Mat. Nauk 42, No. 6, 187--188 (1987; Zbl 0708.90028)] briefly reported results that established conditions under which effective resistances in an undirected graph satisfy a ...
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Molecular Ecology Resources, Volume 26, Issue 5, July 2026.ABSTRACT High‐throughput sequencing (HTS) allows large‐scale DNA barcoding of individually tagged specimens (‘megabarcoding’), but deep amplicon sequencing produces a mixture of authentic mitochondrial sequences together with nuclear pseudogenes (NUMTs), environmental and cross‐sample contaminants, and sequencing artefacts.
Sarawut Ounjai +7 more
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On homogeneous ultrametric spaces
, 2015 A metric space M is homogeneous if every isometry between finite subsets extends to a surjective isometry defined on the whole space. We show that if M is an ultrametric space, it suffices that isometries defined on singletons extend, i.e that the group of isometries of M acts transitively. We derive this fact from a result expressing that the arity of
Delhomme, C. +3 more
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Ultrametric Spaces of Branches on Arborescent Singularities [PDF]
, 2018 37 pages, 16 figures. Compared to the first version on Arxiv, il has a new section 4.3, accompanied by 2 new figures.
García Barroso, Evelia +2 more
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A Note on Ultrametric Spaces, Minimum Spanning Trees and the Topological Distance Algorithm
Information, 2020 We relate the definition of an ultrametric space to the topological distance algorithm—an algorithm defined in the context of peer-to-peer network applications.
Jörg Schäfer
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